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Finding the Fourth Proportional to 575.73, 794.11 and 354.75

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Solution

The fourth proportional to 575.73, 794.11 and 354.75 is: 489.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.73 : 794.11 = 354.75 : x
  2. Step 2: Convert to fraction form
    575.73/794.11 = 354.75/x
  3. Step 3: Cross multiply
    575.73x = 794.11 × 354.75
  4. Step 4: Simplify right side
    575.73x = 281,710.52
  5. Step 5: Solve for x
    x = 281,710.52/575.73
  6. Step 6: Final answer
    x = 489.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.